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Simplifying 2x + -3(x + -4) = 5x + 7 Reorder the terms: 2x + -3(-4 + x) = 5x + 7 2x + (-4 * -3 + x * -3) = 5x + 7 2x + (12 + -3x) = 5x + 7 Reorder the terms: 12 + 2x + -3x = 5x + 7 Combine like terms: 2x + -3x = -1x 12 + -1x = 5x + 7 Reorder the terms: 12 + -1x = 7 + 5x Solving 12 + -1x = 7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + -1x + -5x = 7 + 5x + -5x Combine like terms: -1x + -5x = -6x 12 + -6x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -6x = 7 + 0 12 + -6x = 7 Add '-12' to each side of the equation. 12 + -12 + -6x = 7 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = 7 + -12 -6x = 7 + -12 Combine like terms: 7 + -12 = -5 -6x = -5 Divide each side by '-6'. x = 0.8333333333 Simplifying x = 0.8333333333
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